1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
salantis [7]
3 years ago
11

Only the function represented by graph has an inverse function.

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

Only the function represented by graph 2 has an inverse function

Step-by-step explanation:

* Lets explain the inverse of the function

- The Function is a relation between x-coordinates and the y-

 coordinates of the order pairs under the condition every

 x-coordinate has only one y-coordinate

- Ex: R = {(2 , 3) , (1 , 5) , (-2 , -3)} is a function because every x-

 coordinate has only one y-coordinate and R = {(2 , 3) , (-1 , 4) ,

 (2 , 5)} not a function because the x-coordinate 2 has two y-

 coordinates 3 and 5

- We use the vertical line to test the graph is function or not, if

 the vertical line intersects the graph in one point then the

 graph is function if intersects it in more than one point then the

 graph is not function

- We have two types of function one-to-one function and

 many-to-one function

# one-to-one function means every x-coordinate has only 1 y-coordinate

# many-to-one function means some x-coordinates have only 1

  y-coordinate

- We find the inverse function by switching x and y, then one-to-

 one function has inverse but many-to-one has not inverse

 because when we switched x and y it will be one-to-many

 means one x-coordinate has many y-coordinates and this is not

 a function

- We use the horizontal line to test the graph of the function has

 inverse or not, if the horizontal line intersects the graph in one

 point then the function of the graph has inverse if it intersects

 the graph in more than one point ,then the function of the  

 graph has no inverse

* Now lets test all the graphs by using the horizontal line

# graph 1

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 1 has no inverse

# graph 2

∵ The horizontal line cuts the graph in just 1 point

∴ The function of graph 2 has inverse

# graph 3

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 3 has no inverse

# graph 4

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 4 has no inverse

* Only the function represented by graph 2 has an inverse function

You might be interested in
PLEASE HELP! I do not understand as to what they are asking for me to do and how to do it.
Ymorist [56]

Answer:

<em>1 cm^2 : 9 m^2</em>

Step-by-step explanation:

The scale factor of an area is the square of the scale factor of a length.

The scale for lengths is 1 cm : 3 m.

You now square that scale to get the scale of the areas.

Scale of areas:

(1 cm)^2 : (3 m)^2

1 cm^2 : 9 m^2

3 0
3 years ago
Plzzzzzzz help quick i have 10 mins left!!!
kumpel [21]

Answer:

A)

O = 3S

While O is the number of ounces of meat

While S is the number of sandwiches

B)

S= O/3 = 18/3 = 6 Sandwiches

6 0
2 years ago
Write the ratio in simplest form. <br> 12 DVDS to 10 books.
e-lub [12.9K]

Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

please mark me as brainliest!!! Good luck with your tests!

8 0
2 years ago
Round 715 to the nearest the ten
Mariana [72]
Here's a good rhyming rule to keep in mind.

Zero to four, you get no more.

Five to nine, move up one time.

With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.
8 0
3 years ago
Read 2 more answers
What is the area of the composite figure?
jek_recluse [69]

i think its b correct me if im wrong

3 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle-shaped machine part has sides of 2 1/2 inches, 3 1/4 inches, and 5 inches. The triangle's perimeter is
    13·1 answer
  • Which 2 points are on the graph of p(c)=3/2c-6?
    6·1 answer
  • The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of
    11·1 answer
  • Does this equation have an ordered pair as a solution 5x - 3y = 15 ; (0,5)
    12·1 answer
  • If you place a 5-foot ladder against the top of a 4-foot building, how many feet will the
    8·2 answers
  • A pizza shop wants to determine how often it delivers to three different areas of a city. The table shows the areas from a rando
    10·1 answer
  • -3/2 multiplied by -5/1/4​
    13·2 answers
  • H(8) = 40,000 • 1.05^8
    6·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    7·2 answers
  • Draw the graph of f(x) = (x − 1)2 − 2. Start by creating a table of ordered pairs for the function. Then plot the points from th
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!